GoldenLanguage Specification (v2.0 – Dynamic Base-∞)
1. Core Data Model
1.1 Vector Primitive
Every glyph encodes a triple vector:
V = [R, G, B]   where  R,G,B ∈ [0,1]
Inverse operations:

V⁻¹ = [1-R, 1-G, 1-B]
V±  = {V, V⁻¹}
Base meaning: semantic, visual, and entropic signal.
2. DNA Layer (Quaternary Logic Overlay)
2.1 Mapping
Each vector component → 2-bit symbol:
A = 0, C = 1, G = 2, T = 3
Thus, [R,G,B] → DNA triplet sequence.
2.2 Logic Operators
Defined on DNA symbols:
NOT(x) = (3 - x)
ADD(x,y) = (x + y) mod 4
MIN(x,y), MAX(x,y)
SHIFT(x) = (x+1) mod 4
DNA sequences act as computational strings.
2.3 Folding Control
Symbol C reserved as fold signal (entropy contraction).
Folding allows compression, branching, and recursion.
3. Compact Layer (Dynamic Base-∞)
3.1 Canonical Alphabet Generator
A deterministic alphabet exists for any base (2 ≤ base ≤ ∞).
Generated by φ-seeding:
import math

def BASE_ALPHABET(base: int) -> str:
    PHI = (1 + math.sqrt(5)) / 2
    alphabet = []
    x = PHI
    for i in range(base):
        x = (x * PHI) % 1
        codepoint = 0x2500 + int(x * 0x0FFF)
        alphabet.append(chr(codepoint))
    return ''.join(alphabet)

# Example
BASE4096_ALPHABET = BASE_ALPHABET(4096)
Always deterministic: same base → same glyph alphabet.
3.2 Packing Rule
DNA sequences map into integers.
Integers are expressed in chosen base using canonical alphabet.
Packing ratio depends on base:
n DNA bases → ⌈ log_base(4^n) ⌉ glyphs
Examples:
Base-64 → 3 DNA bases per glyph.
Base-4096 → 6 DNA bases per glyph.
Base-∞ → adaptive (entropy-scaled).
3.3 Encoding / Decoding
Encoding DNA → glyphs (base N):
Map ACGT → 0–3.
Accumulate as integer.
Express integer in base N with φ-alphabet.
Decoding glyphs → DNA:
Map φ-alphabet → integer.
Expand integer in base-4.
Map 0–3 → ACGT.
Bijective & reversible at all bases.
4. Glyph Trees (Execution Layer)
4.1 Structure
Node = compact glyph (any base).
Children = sub-glyphs.
Execution = traverse tree, expand glyphs → DNA → vectors.
4.2 Evaluation Order
Start at root glyph.
Decode glyph → DNA.
Apply DNA logic operators.
Output → vector [R,G,B].
4.3 Reversibility
Every layer reversible:
Vector ⇆ DNA ⇆ Base-N ⇆ Glyph Tree
5. Extensions
Float∞: arbitrary precision floats encoded in base-∞ glyphs.
Breathing Nodes: adaptive folding/unfolding by entropy flow.
Symbolic Decorators: prime, Fibonacci, φ operators attached at glyph level.
6. Summary
GoldenLanguage =

Core: Vector [R,G,B] + inverse triple.
Logic Overlay: DNA quaternary.
Compact Layer: Dynamic Base-∞ with φ-seeded alphabet.
Structure: Recursive glyph trees.
Execution: Bijective, reversible, Turing-complete.
This replaces the old Base-4096-only design with a universal compact layer:

Base-2 → minimal binary.
Base-64 → portable transport.
Base-4096 → atomic glyphs.
Base-∞ → entropy-adaptive compactness.